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Finding the Fourth Proportional to 635.12, 952.52 and 430.95

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Solution

The fourth proportional to 635.12, 952.52 and 430.95 is: 646.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.12 : 952.52 = 430.95 : x
  2. Step 2: Convert to fraction form
    635.12/952.52 = 430.95/x
  3. Step 3: Cross multiply
    635.12x = 952.52 × 430.95
  4. Step 4: Simplify right side
    635.12x = 410,486.34
  5. Step 5: Solve for x
    x = 410,486.34/635.12
  6. Step 6: Final answer
    x = 646.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.